How to find y mx b on a graph

13.05.2021 By Akishakar

how to find y mx b on a graph

Slope-intercept equation from graph

Algebra. Graph y=mx+b. y = mx + b y = m x + b. Graph. May 09,  · Find the equation of a line in slope-intercept form (y=mx+b) from a graph.

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts. To unlock all 5, videos, start your free trial. The y-intercept is where the line will cross the y-axis, so count up or down om the y-axis the number of units indicated by the b value. From the y-intercept point, use the slope to find grapb second point. The numerator of fnd slope tells you how many units to move up fidn down from the intercept, and the denominator of the slope tells you how many units to move left or right in order to plot the second point.

Connect the two points and draw arrows at either end to indicate that the line extends infinitely. And if this line is in y equals mx plus b form, I can do my second graphing. But this one is not quite in y equals mx plus b form yet. What I need to do is get y all by itself. So now I have 2y equals x plus 7. From there I want to count the slope which is up 1 box over 2, but be careful.

These points are also on the line. Remember that the line extends forever in both directions using that constant slope ratio. And then lastly, make sure you put arrows on the ends to show that this line extends forever and ever in both directions. Okay, you guys are ready? Okay, take out your stop watches, ready, set, go. You can really bring out your inner Math nerd in these kinds of problem. Let me show you what I did in that pretty amazing 10 seconds.

The first thing I did was look to find the y intercept. The y intercept in this problem is -4, so my first dot on the graph went at From there I counted the slope. Let me show you on the graph what I mean. My first dot went at the y intercept of The first thing I did was put this dot right here at down how many events are in the olympics today on the y axis.

From there I just grabbed a ruler and connected them being really careful to extend the line and make arrows on the end to show that it goes on and on towards infinity. So you guys these are like super fast problems if you can get the hang of it. Let me just run that through you one more time. First thing, dot at the y intercept boom, from there count the slope boom, third thing draw the line, forth thing, put the arrows on it.

Those are really great problems you guys I think you might even have fun doing your Math homework. Previous Unit Graphs and Functions. Next Unit Solving Systems t Equations. Alissa Fong.

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Step 1: Divide All Terms in the Equation by B

Step 1: Assign which point is the first and second, and then label its components. Step 2: Substitute the known values into the slope formula, and simplify if necessary. Step 3: Pick any of the two given points. Suppose we pick the point (? 7, 4) \left ({ - \,7,\,4} \right) (?7, 4). Step 4: Estimated Reading Time: 3 mins. Jul 27,  · Graph linear equations using y=mx+b - the slope does this mean? All linear equations can be made into an equation of this form - where m is t. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

How-To Examples. So, for these next graphs, let's not do any other "computations"; let's just work straight from the equation. Slope-Intercept Form. This equation is in slope-intercept form. I'll start by plotting this first point:. This tells me that, to get from the intercept to the next easy point, I must go "up three and over five".

So I do the counting and plot the next point:. Continuing in the same direction that is, continuing to work backwards , I go up another three and back another five to get my third point:. What if the equation isn't provided in slope-intercept form? The point I've already got is really far down in my graphing window.

It would be easier to plot the point before the intercept, rather than the point after which is further down. So, instead of going "down four and over three", I'll back up, and go " back three and up four": I'll do another point the same way, and then draw my line:. Sometimes, they'll give you an equation where the intercept isn't all that helpful. But you can still do the graphing. In mixed-number form surprise! But doing the other points for this graph may be a bit messy, especially if I start my counting from this intercept.

I mean, yes, I can go "up three and over four", but that "one-fourth" could be bothersome. Instead, I'll find one nice, neat point, and work from there. First, I'll rearrange the equation like this:. To get that one-fourth to cancel off, I need the parenthetical to be a multiple of 4. I started with a nice integer value for x , and I got a nice integer value for y. I'll draw in my dot at 1, 2 :.

Now I can apply the slope info and do "up three and over four" or "back four and down three" to find a couple more points:. Just take the time to be very neat, and don't lose track of the messy fractional part. Page 1 Page 2. All right reserved. Web Design by. Skip to main content. Content Continues Below. Share This Page. Terms of Use Privacy Contact. Advertising Linking to PM Site licencing. Visit Our Profiles.